Higher-dimensional resolution of dilatonic black-hole singularities

Authors: G. W. Gibbons, Gary T. Horowitz, Paul Townsend - Classical and Quantum Gravity 1995 cited by 356

We show that the four-dimensional extreme dilaton black hole with dilaton coupling constant a= \\sqrt{p/(p+2)} can be interpreted as a {\\it completely non-singular}, non-dilatonic, black p-brane in (4+p) dimensions provided that p is {\\it odd}. Similar results are obtained for multi-black holes and dilatonic extended objects in higher spacetime dimensions. The non-singular black p-brane solutions include the self-dual three brane of ten-dimensional N=2B supergravity and a multi-fivebrane solution of eleven-dimensional supergravity. In the case of a supersymmetric non-dilatonic p-brane solution of a supergravity theory, we show that it saturates a bound on the energy per unit p-volume.